Czasopismo
Tytuł artykułu
Autorzy
Treść / Zawartość
Pełne teksty:
Warianty tytułu
Języki publikacji
Abstrakty
For a graphical property P and a graph G, we say that a subset S of the vertices of G is a P-set if the subgraph induced by S has the property P. Then the P-domination number of G is the minimum cardinality of a dominating P-set and the P-independence number the maximum cardinality of a P-set. We show that several properties of domination, independent domination and acyclic domination hold for arbitrary properties P that are closed under disjoint unions and subgraphs.
Słowa kluczowe
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
239-248
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Department of Computer Science, Clemson University, Clemson SC 29631, USA
- Department of Computer Science, University of Natal, Durban 4041, South Africa
autor
- Department of Mathematics, East Tennessee State University, Johnson City TN 37614, USA
autor
- Department of Mathematics, East Tennessee State University, Johnson City TN 37614, USA
Bibliografia
- [1] M. Borowiecki, I. Broere, M. Frick, P. Mihók and G. Semanišin, A survey of hereditary properties of graphs, Discuss. Math. Graph Theory 17 (1997) 5-50, doi: 10.7151/dmgt.1037.
- [2] M. Borowiecki, D. Michalak and E. Sidorowicz, Generalized domination, independence and irredundance, Discuss. Math. Graph Theory 17 (1997) 143-153, doi: 10.7151/dmgt.1048.
- [3] M. Borowiecki and P. Mihók, Hereditary properties of graphs, in: Advances in Graph Theory (Vishwa, 1991) 41-68.
- [4] M.R. Garey and D.S. Johnson, Computers and Intractability (W H Freeman, 1979).
- [5] J. Gimbel and P.D. Vestergaard, Inequalities for total matchings of graphs, Ars Combin. 39 (1995) 109-119.
- [6] T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of Domination in Graphs (Marcel Dekker, 1997).
- [7] T.W. Haynes, S.T. Hedetniemi and P.J. Slater (eds.) Domination in Graphs: Advanced topics (Marcel Dekker, 1997).
- [8] T.W. Haynes and M.A. Henning, Path-free domination, J. Combin. Math. Combin. Comput. 33 (2000) 9-21.
- [9] S.M. Hedetniemi, S.T. Hedetniemi and D.F. Rall, Acyclic domination, Discrete Math. 222 (2000) 151-165, doi: 10.1016/S0012-365X(00)00012-1.
- [10] D. Michalak, Domination, independence and irredundance with respect to additive induced-hereditary properties, Discrete Math., to appear.
- [11] C.M. Mynhardt, On the difference between the domination and independent domination number of cubic graphs, in: Graph Theory, Combinatorics, and Applications, Y. Alavi et al. eds, Wiley, 2 (1991) 939-947.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-dmgtv24i2bwm